A Constitutive Stress–Strain Law for Metals with Sigmoidal Curves,Advanced Engineering Materials

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A Constitutive Stress–Strain Law for Metals with Sigmoidal Curves
Advanced Engineering Materials ( IF 3.4 ) Pub Date : 2021-09-12 , DOI: 10.1002/adem.202100739
Trevor William Clyne _{1,

2} , Wenchen Gu ₁

Affiliation

A formulation is proposed for true stress–true strain relationships in the plastic regime that exhibit sigmoidal shapes, such as those of certain metastable austenitic stainless steels (MASS). It contains two terms, broadly accounting for contributions to hardening from conventional plasticity and from mechanical stimulation of martensite formation. It is a continuous function, designed to cover the plastic strain range from zero up to several tens of percent. It is shown that it is suitable for capture of a range of curve shapes of this type—experimental data from tensile testing of a MASS alloy over a range of temperature, with good fidelity. The formulation incorporates six independent parameters, although there may be scope for limiting the range of values that they can have, facilitating convergence operations. Information is presented about how convergence is obtained. The equation is thus expected to be suitable for use in finite element method (FEM) models for simulation of plastic deformation in various scenarios, including indentation. Future work will involve exploration of the details of this.

中文翻译：

具有 S 形曲线的金属的本构应力-应变定律

提出了一种用于塑性状态中真实应力-真实应变关系的公式，该公式表现出 S 形形状，例如某些亚稳态奥氏体不锈钢 (MASS) 的形状。它包含两个术语，广泛地解释了传统塑性和马氏体形成的机械刺激对硬化的贡献。它是一个连续函数，旨在覆盖从零到几十个百分点的塑性应变范围。结果表明，它适用于捕获这种类型的一系列曲线形状——来自 MASS 合金在一定温度范围内的拉伸测试的实验数据，具有良好的保真度。该公式包含六个独立参数，尽管可能存在限制它们可以具有的值范围的范围，从而促进收敛操作。提供了有关如何获得收敛的信息。因此，该方程有望适用于有限元法 (FEM) 模型，用于模拟各种情况下的塑性变形，包括压痕。未来的工作将涉及对此细节的探索。

更新日期：2021-09-12

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